From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.50 m/s and angle of 21.0° below the horizontal. It strikes the ground 6.00 slater.(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following asnecessary: yo: Assume SI units. Do not substitute numerical values; use variables only.)X; =Y =(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.Vi, xVi, y =m/s%3D%3Dm/s(c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: yo and t. Assume SI units.)

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Part A) A projectile is launched with speed v0v0 and angle θθ. Derive an expression for the projectile's maximum height hh. Express your answer in terms of the variables v0v0, θθ, and appropriate constants. Part B) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part C) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 30.0 ∘∘ . Express your answer with the appropriate units. Part D A baseball is hit with a speed of 34.0 m/sm/s . Calculate its height if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units. Part E) A baseball is hit with a speed of 34.0 m/sm/s . Calculate its distance traveled if it is hit at an angle of 45.0 ∘∘ . Express your answer with the appropriate units.
From the window of a building, a ball is tossed from a height yo above the ground with an initial velocity of 7.90 m/s and angle of 25.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo. Assume SI units. Do not substitute numerical values; use variables only.) x₁ = 0 Y₁ = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. Vi,x= Vi, y = (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: yo and t. Assume SI units.) X = y = X m m/s m/s m m (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the…
A swimmer tries to cross a river swimming at the angle θ to theperpendicular to the stream (to the left). The speed of the swimmer isv’, the speed of the river u (to the right) is unknown, and the width ofthe river is h. The swimmer lands at the distance ? to the right fromthe opposite point at the other side of the river. What was the speed ofthe river?
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From the window of a building, a ball is tossed from a height y, above the ground with an initial velocity of 9.10 m/s and angle of 25.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: Yo: Assume SI units. Do not substitute numerical values; use variables only.) X; = Y; = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. V m/s m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: Yo and t. Assume SI units.) X = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching? S
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(a) You are standing on one side of a river and a tree is directly across from you. You then walk adistance d along the river and determine that now the tree is at an angle θ. How wide is the river?A plane travels north at speed v0 for a time t0 and then travels east at 12v0 for a time 3t0. (b) How farto the north did the plane travel? How far to the east? (c) What is the total distance the plane is awayfrom its initial position?
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